We recall here that similar descriptions for the ordinary codimensions can be found in [1]} where it was proved that the only two varieties of (ordinary) algebras of almost polynomial growth are the ones generated by the Grassmann algebra \(E\)  and by \(UT_2\) . In the case of algebras with involution, superinvolution, pseudoinvolution or graded by a finite group, a complete list of varieties of algebras of almost polynomial growth was exihibited in [2]}, [3]}, [4]}, [5]}, [6]}, [7]}, [8]}, [9]}.
